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Volume 25, Issue 1
A Note on the Quadrilateral Mesh Condition $RDP(N,\psi)$

Dongyang Shi, Zhong-Ci Shi & Jingzhu Wu

J. Comp. Math., 25 (2007), pp. 27-30.

Published online: 2007-02

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  • Abstract

The main aim of this paper is to show that the quadrilateral mesh condition $RDP(N,\psi)$ is only sufficient but not necessary for the optimal order error estimate of the $Q_{1}$ isoparametric element in the $H^{1}$ norm.

  • Keywords

Isoparametric finite element, Optimal order error estimate, Quadrilateral mesh condition.

  • AMS Subject Headings

65N30, 65N15.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-25-27, author = {Dongyang Shi, Zhong-Ci Shi and Jingzhu Wu}, title = {A Note on the Quadrilateral Mesh Condition $RDP(N,\psi)$}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {1}, pages = {27--30}, abstract = {

The main aim of this paper is to show that the quadrilateral mesh condition $RDP(N,\psi)$ is only sufficient but not necessary for the optimal order error estimate of the $Q_{1}$ isoparametric element in the $H^{1}$ norm.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8670.html} }
TY - JOUR T1 - A Note on the Quadrilateral Mesh Condition $RDP(N,\psi)$ AU - Dongyang Shi, Zhong-Ci Shi & Jingzhu Wu JO - Journal of Computational Mathematics VL - 1 SP - 27 EP - 30 PY - 2007 DA - 2007/02 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8670.html KW - Isoparametric finite element, Optimal order error estimate, Quadrilateral mesh condition. AB -

The main aim of this paper is to show that the quadrilateral mesh condition $RDP(N,\psi)$ is only sufficient but not necessary for the optimal order error estimate of the $Q_{1}$ isoparametric element in the $H^{1}$ norm.

Dongyang Shi, Zhong-Ci Shi and Jingzhu Wu. (2007). A Note on the Quadrilateral Mesh Condition $RDP(N,\psi)$. Journal of Computational Mathematics. 25 (1). 27-30. doi:
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